An extension of Hall's theorem

DOI10.1007/s00026-002-8034-zzbMath1009.05131OpenAlexW2021117688MaRDI QIDQ1865120

Iosif Pinelis

Publication date: 25 March 2003

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-002-8034-z

zbMATH Keywords

injectivityHall's theoremsystems of distinct representativesinfinite families of sets

Mathematics Subject Classification ID

Partitions of sets (05A18) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

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An extension of Hall's theorem for partitioned bipartite graphs ⋮ Nonnegative sum-symmetric matrices and optimal-score partitions

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